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Means and the Schur complement of sector matrices
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-08-20 , DOI: 10.1080/03081087.2020.1809617 Yanpeng Zheng 1 , Xiaoyu Jiang 1 , Xiaoting Chen 2 , Ancai Zhang 1 , Fawaz Alsaadi 3
中文翻译：
部门矩阵的均值和舒尔补
更新日期：2020-08-20
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2020-08-20 , DOI: 10.1080/03081087.2020.1809617 Yanpeng Zheng 1 , Xiaoyu Jiang 1 , Xiaoting Chen 2 , Ancai Zhang 1 , Fawaz Alsaadi 3
Affiliation
ABSTRACT
We present several new matrix inequalities which connect the Schur complement, sector matrices and weighted arithmetic mean, geometric mean and harmonic mean, extending a key result in Lin [Extension of a result of Hanynsworth and Hartfiel. Arch Math. 2015;1:93–100].
中文翻译：
部门矩阵的均值和舒尔补
摘要
我们提出了几个新的矩阵不等式，它们连接了 Schur 补码、扇区矩阵和加权算术平均数、几何平均数和调和平均数，扩展了 Lin 中的一个关键结果 [Extension of a result of Hanynsworth and Hartfiel。拱数学。2015;1:93–100]。
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